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Making big steps in trajectories

Norbert Th. Müller, Margarita Korovina
2010 Electronic Proceedings in Theoretical Computer Science  
We propose a novel algorithm for the computation of trajectories up to the area where discontinuous jumps appear, applicable for holomorphic flow functions.  ...  We consider the solution of initial value problems within the context of hybrid systems and emphasise the use of high precision approximations (in software for exact real arithmetic).  ...  These two options will be called 'small steps' and 'big steps'. 1.  ... 
doi:10.4204/eptcs.24.15 fatcat:wfmp67e3h5c2rmy7n5pexsy4uq

TKSimGPU: A parallel top-K trajectory similarity query processing algorithm for GPGPUs

Eleazar Leal, Le Gruenwald, Jianting Zhang, Simin You
2015 2015 IEEE International Conference on Big Data (Big Data)  
of the near-join (step 4).  ...  Experimental Environment Dataset: The GeoLife dataset containing 17,261 trajectories whose lengths add up to 1,251,654 Km, span 48,203 hours, and 23,667,828 points.  ...  the average Hausdorff distance to the K-th nearest trajectory Step 2: Expand the MBRs of the P trajectories by epsilon Step 3: Find the cells that every expanded MBR intersects Step 4: Find the pairs  ... 
doi:10.1109/bigdata.2015.7363787 dblp:conf/bigdataconf/LealGZY15 fatcat:b5espmbg6zgxlnqze45vormcmm

Online Long-Term Trajectory Prediction Based on Mined Route Patterns [chapter]

Petros Petrou, Panagiotis Tampakis, Harris Georgiou, Nikos Pelekis, Yannis Theodoridis
2020 Lecture Notes in Computer Science  
In this paper, we present a Big data framework for the prediction of streaming trajectory data by exploiting mined patterns of trajectories, allowing accurate long-term predictions with low latency.  ...  In particular, to meet this goal we follow a two-step methodology. First, we efficiently identify the hidden mobility patterns in an offline manner.  ...  The main difference with 'pure' TP methods is that in this case the prediction errors are accumulated with each step (e.g. via multi-step Linear Regression) along the prediction track, thus making the  ... 
doi:10.1007/978-3-030-38081-6_4 fatcat:6n5heoumwfguln3chpcp35uifm

Kinodynamic motion planning: connecting exploration trees using trajectory optimization Methods

F. Lamiraux, E. Ferre, E. Vallee
2004 IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004  
We run a tree exploration method with a big neighborhood and then we locally modify the trajectory in order to make it reach exactly the goal.  ...  Our solution is based on a trajectory optimization method we have developed earlier in a mobile robot context and that we have adapted for the problem raised here.  ...  Let us notice that the gap between both trajectories is rather big. The presence of obstacles however did not make the trajectory optimization fail.  ... 
doi:10.1109/robot.2004.1308894 dblp:conf/icra/LamirauxFV04 fatcat:aa63ka6nabdwxctdx75ehpc3s4

A Survey on Big Data for Trajectory Analytics

Damião Ribeiro de Almeida, Cláudio de Souza Baptista, Fabio Gomes de Andrade, Amilcar Soares
2020 ISPRS International Journal of Geo-Information  
the efficiency and development of decision-making systems that deal with trajectory data.  ...  This article collected state-of-the-art on Big Data trajectory analytics.  ...  decision support process making in organizations.  ... 
doi:10.3390/ijgi9020088 fatcat:bgpfxcx5jngd7cjcj6u4fl4jpi

CROWDSOURCING BIG TRACE DATA FILTERING: A PARTITION-AND-FILTER MODEL

X. Yang, L. Tang
2016 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
In this paper, we propose an efficient partition-and-filter model to filter trajectories, which includes trajectory partitioning and trajectory filtering.  ...  However, the precision of crowdsourcing traces in urban area is very low because of low-end GPS data devices and urban canyons with tall buildings, thus making it difficult to mine high-precision geographic  ...  So to extract value and make big data operational, veracity, is increasingly being recognized.  ... 
doi:10.5194/isprs-archives-xli-b2-257-2016 fatcat:bimboehoozd6rpuaxdzcffksiy

CROWDSOURCING BIG TRACE DATA FILTERING: A PARTITION-AND-FILTER MODEL

X. Yang, L. Tang
2016 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
In this paper, we propose an efficient partition-and-filter model to filter trajectories, which includes trajectory partitioning and trajectory filtering.  ...  However, the precision of crowdsourcing traces in urban area is very low because of low-end GPS data devices and urban canyons with tall buildings, thus making it difficult to mine high-precision geographic  ...  So to extract value and make big data operational, veracity, is increasingly being recognized.  ... 
doi:10.5194/isprsarchives-xli-b2-257-2016 fatcat:lzcabk44xfgjzcnfzhpk6vvhne

Ship-Collision Avoidance Decision-Making Learning of Unmanned Surface Vehicles with Automatic Identification System Data Based on Encoder—Decoder Automatic-Response Neural Networks

Miao Gao, Guo-You Shi
2020 Journal of Marine Science and Engineering  
The encoder–decoder neural networks were trained based on the AIS data obtained in 2018 from Zhoushan Port to achieve ship collision avoidance decision-making learning.  ...  Herein, an encoder–decoder automatic-response neural network is designed and implemented based on the sequence-to-sequence (Seq2Seq) structure to simultaneously process the two AIS encounter trajectory  ...  decision-making.  ... 
doi:10.3390/jmse8100754 fatcat:dfo44rs5szbanjx55v3dj5g2ay

Deep Learning in Unmanned Surface Vehicles Collision-Avoidance Pattern Based on AIS Big Data with Double GRU-RNN

Jia-hui Shi, Zheng-jiang Liu
2020 Journal of Marine Science and Engineering  
The results indicated that the double GRU-RNN could effectively learn the collision avoidance pattern hidden in AIS big data, and generate corresponding ship collision-avoidance decisions for different  ...  out effective machine learning is a difficult problem in current maritime field.  ...  In this study, extracting the successful cases of ship collision-avoidance from AIS big data could be divided into three steps-(a) ship AIS big data compression; (b) identification of the ship encounter  ... 
doi:10.3390/jmse8090682 fatcat:or3qio7k5nf27cubzez4bnv76y

Mining Urban Congestion Evolution Characteristics Based on Taxi GPS Trajectories

Weiyan Xu, Yumei Huang
2020 American Journal of Traffic and Transportation Engineering  
It can also provide decision-making for residents and taxi drivers. A spectral clustering method is proposed for sensing traffic congestion using taxi GPS trajectories.  ...  The taxi GPS trajectories involve sufficient temporal and spatial characteristics and make it easy for us to obtain potential knowledge for understanding human mobility pattern and urban traffic network  ...  Huifang Feng for providing the GPS data used in this work. This work is partially supported by the National Natural Science Foundation of China under Grant (11571156, 71761031).  ... 
doi:10.11648/j.ajtte.20200501.11 fatcat:fvgemjqy2zgd5d6xnhu6367iju

Efficient Mixed-Integer Programming for Longitudinal and Lateral Motion Planning of Autonomous Vehicles

Christina Miller, Christian Pek, Matthias Althoff
2018 2018 IEEE Intelligent Vehicles Symposium (IV)  
combined trajectory.  ...  However, this decoupling of the motion often results in infeasible trajectories in situations in which both components need to be heavily linked, e. g., when planning swerving maneuvers to avoid a collision  ...  Sampling has been combined with optimal control in [9] to determine jerk-optimal trajectories by making use of quintic polynomials.  ... 
doi:10.1109/ivs.2018.8500394 dblp:conf/ivs/MillerPA18 fatcat:5vodrge75rg35pmp5jsxltyv34

New Algorithms for Computing the Time-to-Collision in Freeway Traffic Simulation Models

Jia Hou, George F. List, Xiucheng Guo
2014 Computational Intelligence and Neuroscience  
With trajectory conflicts being the main focus, computational procedures are explored which use a two-dimensional coordinate system to track the vehicle trajectories and assess conflicts.  ...  In the context of traffic simulation models, classical lane-based notions of vehicle location are relaxed and new, fast, and efficient algorithms are examined.  ...  In freeway simulation models, TTC is often a critical element of a driver's trajectory management decision-making process. TTC assesses the interaction intensity among vehicles.  ... 
doi:10.1155/2014/761047 pmid:25628650 pmcid:PMC4297628 fatcat:fvoidkawn5d53ol4icls7q5hma

A Group Mining Method for Big Data on Distributed Vehicle Trajectories in WAN

Jie Yang, Xiaoping Li, Dandan Wang, Jia Wang
2015 International Journal of Distributed Sensor Networks  
data on vehicle trajectories stored in Wide Area Network.  ...  MCR-ACA is compared with an existing parallel clustering algorithm on practical big data collected by the traffic monitoring system of Jiangsu province in China.  ...  mining on big data of vehicle trajectories in WAN.  ... 
doi:10.1155/2015/756107 fatcat:7j74frtmhbemjlmqeq4c44ekmy

Computer-Based Validation of 3n+1 Hypothesis for Numbers 3n−1

2019 Tehnički Vjesnik  
As the values in the consecutive iteration change, it is meaningful to make a graphic presentation, which is why we introduce the term trajectory (orbit).  ...  Therefore, it is sufficient to take step 18 in finding other periodical trajectories (if any) using the computer.  ... 
doi:10.17559/tv-20161108221649 fatcat:5qfc26pvt5cs5dgmpa3w6eym4q

Birds of a feather don't always fly farthest: Similarity in Big Five personality predicts more negative marital satisfaction trajectories in long-term marriages

Michelle N. Shiota, Robert W. Levenson
2007 Psychology and Aging  
The present study examined the relationship between similarity in Big Five personality factors and initial levels and 12-year trajectories of marital satisfaction in long-term couples, who were in their  ...  Across the entire sample, greater overall personality similarity predicted more negative slopes in marital satisfaction trajectories.  ...  were entered in the second step, and the total Big Five absolute difference score was entered in the third step.  ... 
doi:10.1037/0882-7974.22.4.666 pmid:18179287 fatcat:3zdbjgkjufem7dmjutc5ct6hyy
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